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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef BIGUNSIGNEDINABASE_H</span></div><div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define BIGUNSIGNEDINABASE_H</span></div><div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div><div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &quot;NumberlikeArray.hh&quot;</span></div><div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;<span class="preprocessor">#include &quot;BigUnsigned.hh&quot;</span></div><div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &lt;string&gt;</span></div><div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;</div><div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="comment"> * A BigUnsignedInABase object represents a nonnegative integer of size limited</span></div><div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;<span class="comment"> * only by available memory, represented in a user-specified base that can fit</span></div><div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment"> * in an `unsigned short&#39; (most can, and this saves memory).</span></div><div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment"> * BigUnsignedInABase is intended as an intermediary class with little</span></div><div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="comment"> * functionality of its own.  BigUnsignedInABase objects can be constructed</span></div><div class="line"><a name="l00015"></a><span class="lineno">   15</span>&#160;<span class="comment"> * from, and converted to, BigUnsigneds (requiring multiplication, mods, etc.)</span></div><div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;<span class="comment"> * and `std::string&#39;s (by switching digit values for appropriate characters).</span></div><div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;<span class="comment"> * BigUnsignedInABase is similar to BigUnsigned.  Note the following:</span></div><div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;<span class="comment"> * (1) They represent the number in exactly the same way, except that</span></div><div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;<span class="comment"> * BigUnsignedInABase uses ``digits&#39;&#39; (or Digit) where BigUnsigned uses</span></div><div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;<span class="comment"> * ``blocks&#39;&#39; (or Blk).</span></div><div class="line"><a name="l00023"></a><span class="lineno">   23</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;<span class="comment"> * (2) Both use the management features of NumberlikeArray.  (In fact, my desire</span></div><div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;<span class="comment"> * to add a BigUnsignedInABase class without duplicating a lot of code led me to</span></div><div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;<span class="comment"> * introduce NumberlikeArray.)</span></div><div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment"> * (3) The only arithmetic operation supported by BigUnsignedInABase is an</span></div><div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="comment"> * equality test.  Use BigUnsigned for arithmetic.</span></div><div class="line"><a name="l00030"></a><span class="lineno">   30</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;</div><div class="line"><a name="l00032"></a><span class="lineno"><a class="line" href="class_big_unsigned_in_a_base.html">   32</a></span>&#160;<span class="keyword">class </span><a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a> : <span class="keyword">protected</span> <a class="code" href="class_numberlike_array.html">NumberlikeArray</a>&lt;unsigned short&gt; {</div><div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div><div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;    <span class="comment">// The digits of a BigUnsignedInABase are unsigned shorts.</span></div><div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;    <span class="keyword">typedef</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">short</span> Digit;</div><div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;    <span class="comment">// That&#39;s also the type of a base.</span></div><div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;    <span class="keyword">typedef</span> Digit Base;</div><div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;</div><div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;<span class="keyword">protected</span>:</div><div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;    <span class="comment">// The base in which this BigUnsignedInABase is expressed</span></div><div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;    Base base;</div><div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div><div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;    <span class="comment">// Creates a BigUnsignedInABase with a capacity; for internal use.</span></div><div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;    <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a>(<span class="keywordtype">int</span>, Index c) : <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;</a>(0, c) {}</div><div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;</div><div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;    <span class="comment">// Decreases len to eliminate any leading zero digits.</span></div><div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;    <span class="keywordtype">void</span> zapLeadingZeros() { </div><div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;        <span class="keywordflow">while</span> (len &gt; 0 &amp;&amp; blk[len - 1] == 0)</div><div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            len--;</div><div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;    }</div><div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;</div><div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;    <span class="comment">// Constructs zero in base 2.</span></div><div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;    <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a>() : <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;</a>(), base(2) {}</div><div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;</div><div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;    <span class="comment">// Copy constructor</span></div><div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;    <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a>(<span class="keyword">const</span> <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a> &amp;x) : <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;</a>(x), base(x.base) {}</div><div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;</div><div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;    <span class="comment">// Assignment operator</span></div><div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;    <span class="keywordtype">void</span> operator =(<span class="keyword">const</span> <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a> &amp;x) {</div><div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;        <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;::operator =</a>(x);</div><div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;        base = x.base;</div><div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;    }</div><div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;</div><div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;    <span class="comment">// Constructor that copies from a given array of digits.</span></div><div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;    <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a>(<span class="keyword">const</span> Digit *d, Index l, Base base);</div><div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;</div><div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;    <span class="comment">// Destructor.  NumberlikeArray does the delete for us.</span></div><div class="line"><a name="l00070"></a><span class="lineno">   70</span>&#160;    ~<a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a>() {}</div><div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;</div><div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;    <span class="comment">// LINKS TO BIGUNSIGNED</span></div><div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;    <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a>(<span class="keyword">const</span> <a class="code" href="class_big_unsigned.html">BigUnsigned</a> &amp;x, Base base);</div><div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;    <span class="keyword">operator</span> <a class="code" href="class_big_unsigned.html">BigUnsigned</a>() <span class="keyword">const</span>;</div><div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div><div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;    <span class="comment">/* LINKS TO STRINGS</span></div><div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;<span class="comment">     * These use the symbols ``0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ&#39;&#39; to</span></div><div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;<span class="comment">     * represent digits of 0 through 35.  When parsing strings, lowercase is</span></div><div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;<span class="comment">     * also accepted.</span></div><div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;<span class="comment">     * All string representations are big-endian (big-place-value digits</span></div><div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;<span class="comment">     * first).  (Computer scientists have adopted zero-based counting; why</span></div><div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;<span class="comment">     * can&#39;t they tolerate little-endian numbers?)</span></div><div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;<span class="comment">     * No string representation has a ``base indicator&#39;&#39; like ``0x&#39;&#39;.</span></div><div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;<span class="comment">     * An exception is made for zero: it is converted to ``0&#39;&#39; and not the</span></div><div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;<span class="comment">     * empty string.</span></div><div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;<span class="comment">     *</span></div><div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;<span class="comment">     * If you want different conventions, write your own routines to go</span></div><div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;<span class="comment">     * between BigUnsignedInABase and strings.  It&#39;s not hard.</span></div><div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;<span class="comment">     */</span></div><div class="line"><a name="l00094"></a><span class="lineno">   94</span>&#160;    <span class="keyword">operator</span> std::string() <span class="keyword">const</span>;</div><div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;    <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a>(<span class="keyword">const</span> std::string &amp;s, Base base);</div><div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;<span class="keyword">public</span>:</div><div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div><div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;    <span class="comment">// ACCESSORS</span></div><div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;    Base getBase()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> base; }</div><div class="line"><a name="l00101"></a><span class="lineno">  101</span>&#160;</div><div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;    <span class="comment">// Expose these from NumberlikeArray directly.</span></div><div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;    <span class="keyword">using</span> <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;::getCapacity</a>;</div><div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;    <span class="keyword">using</span> <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;::getLength</a>;</div><div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;</div><div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;    <span class="comment">/* Returns the requested digit, or 0 if it is beyond the length (as if</span></div><div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;<span class="comment">     * the number had 0s infinitely to the left). */</span></div><div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;    Digit getDigit(Index i)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> i &gt;= len ? 0 : blk[i]; }</div><div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;</div><div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;    <span class="comment">// The number is zero if and only if the canonical length is zero.</span></div><div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;    <span class="keywordtype">bool</span> isZero()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;::isEmpty</a>(); }</div><div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;</div><div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;    <span class="comment">/* Equality test.  For the purposes of this test, two BigUnsignedInABase</span></div><div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;<span class="comment">     * values must have the same base to be equal. */</span> </div><div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;    <span class="keywordtype">bool</span> operator ==(<span class="keyword">const</span> <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a> &amp;x)<span class="keyword"> const </span>{</div><div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;        <span class="keywordflow">return</span> base == x.base &amp;&amp; <a class="code" href="class_numberlike_array.html">NumberlikeArray&lt;Digit&gt;::operator ==</a>(x);</div><div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;    }</div><div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;    <span class="keywordtype">bool</span> operator !=(<span class="keyword">const</span> <a class="code" href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a> &amp;x)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> !operator ==(x); }</div><div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;</div><div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;};</div><div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div><div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="class_big_unsigned_html"><div class="ttname"><a href="class_big_unsigned.html">BigUnsigned</a></div><div class="ttdef"><b>Definition:</b> BigUnsigned.hh:13</div></div>
<div class="ttc" id="class_big_unsigned_in_a_base_html"><div class="ttname"><a href="class_big_unsigned_in_a_base.html">BigUnsignedInABase</a></div><div class="ttdef"><b>Definition:</b> BigUnsignedInABase.hh:32</div></div>
<div class="ttc" id="class_numberlike_array_html"><div class="ttname"><a href="class_numberlike_array.html">NumberlikeArray</a></div><div class="ttdef"><b>Definition:</b> NumberlikeArray.hh:21</div></div>
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